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balu736 [363]
2 years ago
15

The table below shows some inputs and outputs of the invertible function f etc ​

Mathematics
1 answer:
Snowcat [4.5K]2 years ago
4 0

Answer:

(a)\ f^{-1}(-15) = -6

(b)\ f^{-1}(4) + f(9)=0

Step-by-step explanation:

Given

The attached table

(a)\ f^{-1}(-15)

This represents an inverse function.

So, we look into x row for its value.

i.e.

f^{-1}(-15) = -6

(b)\ f^{-1}(4) + f(9)

Just like (a)

f^{-1}(4) = -11 ---- by looking into the x rows

f(9) = 11

So:

f^{-1}(4) + f(9)=-11 + 11

f^{-1}(4) + f(9)=0

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The volume of a box (v) varies directly with its length (l) if one of the boxes has a volume of 325 cubic inches and a length of
stiks02 [169]

Answer:

The constant of proportionality for the group of boxes is: 25

Step-by-step explanation:

Proportion means that change in one quantity causes change in other quantity. Direct variation means that increase in one quantity causes increase in the other quantity.

Let l be the length and v be the volume

Then according to given statement

V∝l

Removing the proportionality symbol introduces a constant in the equation

V = kl

Putting V = 325 and l = 13

325 =k(13)\\k = \frac{325}{13}\\k = 25

Hence,

The constant of proportionality for the group of boxes is: 25

5 0
3 years ago
Find the perimeter or cm
kicyunya [14]

Answer:

The perimeter is 22.

Step-by-step explanation:

The perimeter formula (it sometimes varies) is 2(b+h)

b being base (in this example, 6)

h being height (in this example, 5)

So now, with substitution, we are left with:

2(6+5)

Which simplifies down to:

2(11)

22

8 0
3 years ago
A rectangle has a perimeter of 84 meters and a length of 35 meters. What is the width of the rectangle?
BaLLatris [955]
To find the perimeter of a rectangle, we can use this formula: 2L + 2W
Where L is the length and W is the width.

We know the perimeter and we know the length and we want to find the width.
Substitute the values back into the formula.

2(35) + 2W = 84
70 + 2W = 84
2W = 14 <-- Subtract both sides by 70
W = 7 <-- Divide both sides by 2

So, width is 7 meters long.

8 0
3 years ago
Read 2 more answers
What would 85% of 690 lbs be?
Elodia [21]
 85% of 690 lbs would be 586.5

5 0
3 years ago
Read 2 more answers
41) Gabriella invests $8,193 in a retirement
nataly862011 [7]

Answer:

Option C. \$34,252.67  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=18\ years\\ P=\$8,193\\ r=0.08\\n=6  

substitute in the formula above  

A=\$8,193(1+\frac{0.08}{6})^{6*18}=\$34,252.67  

4 0
3 years ago
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